Properties

Label 210.3.w.a.47.2
Level 210
Weight 3
Character 210.47
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 47.2
Character \(\chi\) \(=\) 210.47
Dual form 210.3.w.a.143.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.366025 + 1.36603i) q^{2} +(-2.84148 + 0.962278i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(-4.69598 - 1.71691i) q^{5} +(-2.35455 - 3.52932i) q^{6} +(-1.00349 + 6.92770i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(7.14804 - 5.46859i) q^{9} +O(q^{10})\) \(q+(0.366025 + 1.36603i) q^{2} +(-2.84148 + 0.962278i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(-4.69598 - 1.71691i) q^{5} +(-2.35455 - 3.52932i) q^{6} +(-1.00349 + 6.92770i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(7.14804 - 5.46859i) q^{9} +(0.626491 - 7.04326i) q^{10} +(8.28471 - 4.78318i) q^{11} +(3.95931 - 4.50820i) q^{12} +(-9.08652 - 9.08652i) q^{13} +(-9.83072 + 1.16492i) q^{14} +(14.9957 + 0.359725i) q^{15} +(2.00000 - 3.46410i) q^{16} +(6.55954 - 24.4806i) q^{17} +(10.0866 + 7.76277i) q^{18} +(10.4928 - 18.1740i) q^{19} +(9.85058 - 1.72221i) q^{20} +(-3.81496 - 20.6506i) q^{21} +(9.56635 + 9.56635i) q^{22} +(-33.1729 + 8.88865i) q^{23} +(7.60752 + 3.75841i) q^{24} +(19.1045 + 16.1251i) q^{25} +(9.08652 - 15.7383i) q^{26} +(-15.0487 + 22.4173i) q^{27} +(-5.18960 - 13.0026i) q^{28} -6.08119 q^{29} +(4.99741 + 20.6162i) q^{30} +(7.22620 - 4.17205i) q^{31} +(5.46410 + 1.46410i) q^{32} +(-18.9381 + 21.5635i) q^{33} +35.8420 q^{34} +(16.6066 - 30.8094i) q^{35} +(-6.91218 + 16.6199i) q^{36} +(-14.2075 + 3.80688i) q^{37} +(28.6667 + 7.68123i) q^{38} +(34.5629 + 17.0754i) q^{39} +(5.95815 + 12.8258i) q^{40} -55.3266 q^{41} +(26.8128 - 12.7700i) q^{42} +(57.2947 - 57.2947i) q^{43} +(-9.56635 + 16.5694i) q^{44} +(-42.9561 + 13.4079i) q^{45} +(-24.2842 - 42.0616i) q^{46} +(-74.4838 + 19.9579i) q^{47} +(-2.34954 + 11.7677i) q^{48} +(-46.9860 - 13.9038i) q^{49} +(-15.0346 + 31.9994i) q^{50} +(4.91826 + 75.8732i) q^{51} +(24.8248 + 6.65179i) q^{52} +(-0.192127 + 0.717027i) q^{53} +(-36.1308 - 12.3517i) q^{54} +(-47.1171 + 8.23763i) q^{55} +(15.8624 - 11.8484i) q^{56} +(-12.3266 + 61.7380i) q^{57} +(-2.22587 - 8.30707i) q^{58} +(88.7444 - 51.2366i) q^{59} +(-26.3330 + 14.3726i) q^{60} +(-92.7452 - 53.5465i) q^{61} +(8.34410 + 8.34410i) q^{62} +(30.7117 + 55.0072i) q^{63} +8.00000i q^{64} +(27.0694 + 58.2708i) q^{65} +(-36.3881 - 17.9771i) q^{66} +(6.19858 - 23.1334i) q^{67} +(13.1191 + 48.9611i) q^{68} +(85.7069 - 57.1785i) q^{69} +(48.1649 + 11.4080i) q^{70} -26.3031i q^{71} +(-25.2333 - 3.35891i) q^{72} +(-2.02512 + 7.55785i) q^{73} +(-10.4006 - 18.0143i) q^{74} +(-69.8018 - 27.4355i) q^{75} +41.9710i q^{76} +(24.8228 + 62.1938i) q^{77} +(-10.6746 + 53.4639i) q^{78} +(-34.5890 - 19.9700i) q^{79} +(-15.3395 + 12.8335i) q^{80} +(21.1890 - 78.1794i) q^{81} +(-20.2509 - 75.5775i) q^{82} +(-52.9823 + 52.9823i) q^{83} +(27.2583 + 31.9529i) q^{84} +(-72.8343 + 103.698i) q^{85} +(99.2373 + 57.2947i) q^{86} +(17.2796 - 5.85180i) q^{87} +(-26.1358 - 7.00306i) q^{88} +(24.2649 + 14.0093i) q^{89} +(-34.0385 - 53.7715i) q^{90} +(72.0669 - 53.8304i) q^{91} +(48.5685 - 48.5685i) q^{92} +(-16.5184 + 18.8084i) q^{93} +(-54.5260 - 94.4417i) q^{94} +(-80.4768 + 67.3296i) q^{95} +(-16.9350 + 1.09776i) q^{96} +(-19.4329 + 19.4329i) q^{97} +(1.79485 - 69.2732i) q^{98} +(33.0622 - 79.4960i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + O(q^{10}) \) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + 24q^{10} + 12q^{12} - 16q^{14} - 44q^{15} + 128q^{16} - 20q^{18} + 36q^{21} + 16q^{22} - 12q^{23} - 16q^{25} + 8q^{28} - 112q^{29} + 26q^{30} + 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} + 24q^{38} + 64q^{39} - 136q^{42} + 32q^{43} - 16q^{44} - 114q^{45} - 24q^{46} - 96q^{47} + 40q^{50} - 84q^{51} + 56q^{53} - 72q^{54} - 316q^{57} + 56q^{58} + 672q^{59} + 8q^{60} + 600q^{61} - 210q^{63} + 28q^{65} + 16q^{67} + 24q^{72} - 624q^{73} - 64q^{74} + 48q^{75} + 208q^{77} - 8q^{78} - 48q^{80} - 64q^{81} - 192q^{82} + 160q^{84} - 152q^{85} + 60q^{87} - 16q^{88} + 144q^{89} - 232q^{91} + 48q^{92} - 170q^{93} + 136q^{95} - 48q^{96} + 128q^{98} + 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.366025 + 1.36603i 0.183013 + 0.683013i
\(3\) −2.84148 + 0.962278i −0.947161 + 0.320759i
\(4\) −1.73205 + 1.00000i −0.433013 + 0.250000i
\(5\) −4.69598 1.71691i −0.939196 0.343381i
\(6\) −2.35455 3.52932i −0.392425 0.588220i
\(7\) −1.00349 + 6.92770i −0.143356 + 0.989671i
\(8\) −2.00000 2.00000i −0.250000 0.250000i
\(9\) 7.14804 5.46859i 0.794227 0.607621i
\(10\) 0.626491 7.04326i 0.0626491 0.704326i
\(11\) 8.28471 4.78318i 0.753155 0.434834i −0.0736777 0.997282i \(-0.523474\pi\)
0.826833 + 0.562448i \(0.190140\pi\)
\(12\) 3.95931 4.50820i 0.329943 0.375683i
\(13\) −9.08652 9.08652i −0.698963 0.698963i 0.265224 0.964187i \(-0.414554\pi\)
−0.964187 + 0.265224i \(0.914554\pi\)
\(14\) −9.83072 + 1.16492i −0.702194 + 0.0832084i
\(15\) 14.9957 + 0.359725i 0.999712 + 0.0239817i
\(16\) 2.00000 3.46410i 0.125000 0.216506i
\(17\) 6.55954 24.4806i 0.385856 1.44003i −0.450958 0.892545i \(-0.648918\pi\)
0.836814 0.547488i \(-0.184416\pi\)
\(18\) 10.0866 + 7.76277i 0.560367 + 0.431265i
\(19\) 10.4928 18.1740i 0.552250 0.956526i −0.445861 0.895102i \(-0.647103\pi\)
0.998112 0.0614237i \(-0.0195641\pi\)
\(20\) 9.85058 1.72221i 0.492529 0.0861105i
\(21\) −3.81496 20.6506i −0.181665 0.983360i
\(22\) 9.56635 + 9.56635i 0.434834 + 0.434834i
\(23\) −33.1729 + 8.88865i −1.44230 + 0.386463i −0.893338 0.449384i \(-0.851643\pi\)
−0.548962 + 0.835848i \(0.684977\pi\)
\(24\) 7.60752 + 3.75841i 0.316980 + 0.156600i
\(25\) 19.1045 + 16.1251i 0.764178 + 0.645005i
\(26\) 9.08652 15.7383i 0.349481 0.605320i
\(27\) −15.0487 + 22.4173i −0.557361 + 0.830271i
\(28\) −5.18960 13.0026i −0.185343 0.464379i
\(29\) −6.08119 −0.209696 −0.104848 0.994488i \(-0.533436\pi\)
−0.104848 + 0.994488i \(0.533436\pi\)
\(30\) 4.99741 + 20.6162i 0.166580 + 0.687205i
\(31\) 7.22620 4.17205i 0.233103 0.134582i −0.378900 0.925438i \(-0.623697\pi\)
0.612003 + 0.790856i \(0.290364\pi\)
\(32\) 5.46410 + 1.46410i 0.170753 + 0.0457532i
\(33\) −18.9381 + 21.5635i −0.573882 + 0.653439i
\(34\) 35.8420 1.05418
\(35\) 16.6066 30.8094i 0.474474 0.880269i
\(36\) −6.91218 + 16.6199i −0.192005 + 0.461664i
\(37\) −14.2075 + 3.80688i −0.383986 + 0.102889i −0.445648 0.895208i \(-0.647027\pi\)
0.0616620 + 0.998097i \(0.480360\pi\)
\(38\) 28.6667 + 7.68123i 0.754388 + 0.202138i
\(39\) 34.5629 + 17.0754i 0.886229 + 0.437831i
\(40\) 5.95815 + 12.8258i 0.148954 + 0.320644i
\(41\) −55.3266 −1.34943 −0.674714 0.738079i \(-0.735733\pi\)
−0.674714 + 0.738079i \(0.735733\pi\)
\(42\) 26.8128 12.7700i 0.638401 0.304047i
\(43\) 57.2947 57.2947i 1.33243 1.33243i 0.429248 0.903187i \(-0.358779\pi\)
0.903187 0.429248i \(-0.141221\pi\)
\(44\) −9.56635 + 16.5694i −0.217417 + 0.376578i
\(45\) −42.9561 + 13.4079i −0.954581 + 0.297952i
\(46\) −24.2842 42.0616i −0.527918 0.914382i
\(47\) −74.4838 + 19.9579i −1.58476 + 0.424636i −0.940396 0.340081i \(-0.889545\pi\)
−0.644366 + 0.764717i \(0.722879\pi\)
\(48\) −2.34954 + 11.7677i −0.0489487 + 0.245161i
\(49\) −46.9860 13.9038i −0.958898 0.283751i
\(50\) −15.0346 + 31.9994i −0.300692 + 0.639988i
\(51\) 4.91826 + 75.8732i 0.0964365 + 1.48771i
\(52\) 24.8248 + 6.65179i 0.477401 + 0.127919i
\(53\) −0.192127 + 0.717027i −0.00362504 + 0.0135288i −0.967715 0.252048i \(-0.918896\pi\)
0.964090 + 0.265577i \(0.0855625\pi\)
\(54\) −36.1308 12.3517i −0.669089 0.228734i
\(55\) −47.1171 + 8.23763i −0.856674 + 0.149775i
\(56\) 15.8624 11.8484i 0.283257 0.211579i
\(57\) −12.3266 + 61.7380i −0.216255 + 1.08312i
\(58\) −2.22587 8.30707i −0.0383771 0.143225i
\(59\) 88.7444 51.2366i 1.50414 0.868417i 0.504153 0.863614i \(-0.331805\pi\)
0.999988 0.00480253i \(-0.00152870\pi\)
\(60\) −26.3330 + 14.3726i −0.438884 + 0.239544i
\(61\) −92.7452 53.5465i −1.52041 0.877811i −0.999710 0.0240733i \(-0.992336\pi\)
−0.520703 0.853738i \(-0.674330\pi\)
\(62\) 8.34410 + 8.34410i 0.134582 + 0.134582i
\(63\) 30.7117 + 55.0072i 0.487488 + 0.873130i
\(64\) 8.00000i 0.125000i
\(65\) 27.0694 + 58.2708i 0.416452 + 0.896474i
\(66\) −36.3881 17.9771i −0.551335 0.272381i
\(67\) 6.19858 23.1334i 0.0925161 0.345275i −0.904115 0.427289i \(-0.859469\pi\)
0.996631 + 0.0820144i \(0.0261353\pi\)
\(68\) 13.1191 + 48.9611i 0.192928 + 0.720016i
\(69\) 85.7069 57.1785i 1.24213 0.828674i
\(70\) 48.1649 + 11.4080i 0.688070 + 0.162971i
\(71\) 26.3031i 0.370466i −0.982695 0.185233i \(-0.940696\pi\)
0.982695 0.185233i \(-0.0593041\pi\)
\(72\) −25.2333 3.35891i −0.350462 0.0466515i
\(73\) −2.02512 + 7.55785i −0.0277414 + 0.103532i −0.978408 0.206681i \(-0.933734\pi\)
0.950667 + 0.310213i \(0.100400\pi\)
\(74\) −10.4006 18.0143i −0.140548 0.243437i
\(75\) −69.8018 27.4355i −0.930691 0.365806i
\(76\) 41.9710i 0.552250i
\(77\) 24.8228 + 62.1938i 0.322374 + 0.807712i
\(78\) −10.6746 + 53.4639i −0.136853 + 0.685434i
\(79\) −34.5890 19.9700i −0.437836 0.252785i 0.264843 0.964291i \(-0.414680\pi\)
−0.702679 + 0.711507i \(0.748013\pi\)
\(80\) −15.3395 + 12.8335i −0.191744 + 0.160419i
\(81\) 21.1890 78.1794i 0.261593 0.965178i
\(82\) −20.2509 75.5775i −0.246963 0.921677i
\(83\) −52.9823 + 52.9823i −0.638340 + 0.638340i −0.950146 0.311806i \(-0.899066\pi\)
0.311806 + 0.950146i \(0.399066\pi\)
\(84\) 27.2583 + 31.9529i 0.324503 + 0.380391i
\(85\) −72.8343 + 103.698i −0.856875 + 1.21998i
\(86\) 99.2373 + 57.2947i 1.15392 + 0.666217i
\(87\) 17.2796 5.85180i 0.198616 0.0672620i
\(88\) −26.1358 7.00306i −0.296997 0.0795802i
\(89\) 24.2649 + 14.0093i 0.272639 + 0.157408i 0.630086 0.776525i \(-0.283020\pi\)
−0.357447 + 0.933933i \(0.616353\pi\)
\(90\) −34.0385 53.7715i −0.378206 0.597462i
\(91\) 72.0669 53.8304i 0.791944 0.591543i
\(92\) 48.5685 48.5685i 0.527918 0.527918i
\(93\) −16.5184 + 18.8084i −0.177618 + 0.202241i
\(94\) −54.5260 94.4417i −0.580063 1.00470i
\(95\) −80.4768 + 67.3296i −0.847125 + 0.708733i
\(96\) −16.9350 + 1.09776i −0.176406 + 0.0114350i
\(97\) −19.4329 + 19.4329i −0.200339 + 0.200339i −0.800145 0.599806i \(-0.795244\pi\)
0.599806 + 0.800145i \(0.295244\pi\)
\(98\) 1.79485 69.2732i 0.0183148 0.706870i
\(99\) 33.0622 79.4960i 0.333962 0.802990i
\(100\) −49.2150 8.82508i −0.492150 0.0882508i
\(101\) −9.58323 16.5986i −0.0948835 0.164343i 0.814676 0.579916i \(-0.196915\pi\)
−0.909560 + 0.415573i \(0.863581\pi\)
\(102\) −101.844 + 34.4900i −0.998475 + 0.338137i
\(103\) 117.324 31.4369i 1.13907 0.305213i 0.360493 0.932762i \(-0.382609\pi\)
0.778577 + 0.627549i \(0.215942\pi\)
\(104\) 36.3461i 0.349481i
\(105\) −17.5401 + 103.525i −0.167049 + 0.985949i
\(106\) −1.04980 −0.00990378
\(107\) 10.1388 + 37.8387i 0.0947555 + 0.353632i 0.996982 0.0776295i \(-0.0247351\pi\)
−0.902227 + 0.431262i \(0.858068\pi\)
\(108\) 3.64787 53.8766i 0.0337766 0.498858i
\(109\) 25.5309 14.7403i 0.234228 0.135232i −0.378293 0.925686i \(-0.623489\pi\)
0.612521 + 0.790454i \(0.290155\pi\)
\(110\) −28.4989 61.3480i −0.259081 0.557709i
\(111\) 36.7070 24.4887i 0.330694 0.220619i
\(112\) 21.9913 + 17.3316i 0.196351 + 0.154746i
\(113\) −18.4098 18.4098i −0.162919 0.162919i 0.620940 0.783858i \(-0.286751\pi\)
−0.783858 + 0.620940i \(0.786751\pi\)
\(114\) −88.8475 + 5.75929i −0.779364 + 0.0505201i
\(115\) 171.040 + 15.2139i 1.48731 + 0.132294i
\(116\) 10.5329 6.08119i 0.0908012 0.0524241i
\(117\) −114.641 15.2604i −0.979840 0.130431i
\(118\) 102.473 + 102.473i 0.868417 + 0.868417i
\(119\) 163.011 + 70.0086i 1.36984 + 0.588308i
\(120\) −29.2719 30.7108i −0.243933 0.255924i
\(121\) −14.7424 + 25.5346i −0.121838 + 0.211030i
\(122\) 39.1987 146.292i 0.321301 1.19911i
\(123\) 157.209 53.2395i 1.27813 0.432842i
\(124\) −8.34410 + 14.4524i −0.0672911 + 0.116552i
\(125\) −62.0288 108.524i −0.496231 0.868191i
\(126\) −63.8999 + 62.0870i −0.507142 + 0.492754i
\(127\) 25.3592 + 25.3592i 0.199679 + 0.199679i 0.799862 0.600184i \(-0.204906\pi\)
−0.600184 + 0.799862i \(0.704906\pi\)
\(128\) −10.9282 + 2.92820i −0.0853766 + 0.0228766i
\(129\) −107.668 + 217.935i −0.834639 + 1.68942i
\(130\) −69.6913 + 58.3061i −0.536087 + 0.448508i
\(131\) −4.37875 + 7.58421i −0.0334255 + 0.0578947i −0.882254 0.470773i \(-0.843975\pi\)
0.848829 + 0.528668i \(0.177308\pi\)
\(132\) 11.2383 56.2872i 0.0851383 0.426418i
\(133\) 115.375 + 90.9281i 0.867477 + 0.683670i
\(134\) 33.8696 0.252759
\(135\) 109.157 79.4339i 0.808570 0.588399i
\(136\) −62.0802 + 35.8420i −0.456472 + 0.263544i
\(137\) −53.4629 14.3253i −0.390240 0.104565i 0.0583633 0.998295i \(-0.481412\pi\)
−0.448604 + 0.893731i \(0.648078\pi\)
\(138\) 109.478 + 96.1490i 0.793320 + 0.696732i
\(139\) 2.66639 0.0191827 0.00959134 0.999954i \(-0.496947\pi\)
0.00959134 + 0.999954i \(0.496947\pi\)
\(140\) 2.04596 + 69.9701i 0.0146140 + 0.499786i
\(141\) 192.439 128.384i 1.36482 0.910526i
\(142\) 35.9307 9.62761i 0.253033 0.0678001i
\(143\) −118.742 31.8167i −0.830360 0.222494i
\(144\) −4.64766 35.6987i −0.0322754 0.247908i
\(145\) 28.5572 + 10.4408i 0.196946 + 0.0720058i
\(146\) −11.0655 −0.0757909
\(147\) 146.889 5.70623i 0.999246 0.0388179i
\(148\) 20.8012 20.8012i 0.140548 0.140548i
\(149\) −34.6598 + 60.0325i −0.232616 + 0.402903i −0.958577 0.284833i \(-0.908062\pi\)
0.725961 + 0.687736i \(0.241395\pi\)
\(150\) 11.9283 105.393i 0.0795220 0.702621i
\(151\) −71.5788 123.978i −0.474032 0.821047i 0.525526 0.850777i \(-0.323868\pi\)
−0.999558 + 0.0297305i \(0.990535\pi\)
\(152\) −57.3335 + 15.3625i −0.377194 + 0.101069i
\(153\) −86.9862 210.860i −0.568537 1.37817i
\(154\) −75.8726 + 56.6731i −0.492679 + 0.368007i
\(155\) −41.0971 + 7.18514i −0.265143 + 0.0463557i
\(156\) −76.9402 + 4.98743i −0.493206 + 0.0319707i
\(157\) 103.926 + 27.8469i 0.661949 + 0.177369i 0.574125 0.818767i \(-0.305342\pi\)
0.0878233 + 0.996136i \(0.472009\pi\)
\(158\) 14.6190 54.5590i 0.0925256 0.345310i
\(159\) −0.144054 2.22230i −0.000906001 0.0139767i
\(160\) −23.1456 16.2567i −0.144660 0.101605i
\(161\) −28.2891 238.732i −0.175709 1.48280i
\(162\) 114.551 + 0.329120i 0.707104 + 0.00203160i
\(163\) −21.1523 78.9415i −0.129769 0.484304i 0.870196 0.492706i \(-0.163992\pi\)
−0.999965 + 0.00840214i \(0.997325\pi\)
\(164\) 95.8284 55.3266i 0.584320 0.337357i
\(165\) 125.955 68.7468i 0.763366 0.416647i
\(166\) −91.7680 52.9823i −0.552819 0.319170i
\(167\) 27.5502 + 27.5502i 0.164972 + 0.164972i 0.784765 0.619793i \(-0.212784\pi\)
−0.619793 + 0.784765i \(0.712784\pi\)
\(168\) −33.6712 + 48.9311i −0.200424 + 0.291256i
\(169\) 3.87040i 0.0229018i
\(170\) −168.313 61.5374i −0.990079 0.361985i
\(171\) −24.3834 187.289i −0.142593 1.09526i
\(172\) −41.9426 + 156.532i −0.243853 + 0.910070i
\(173\) −42.6919 159.328i −0.246774 0.920973i −0.972483 0.232972i \(-0.925155\pi\)
0.725709 0.688001i \(-0.241512\pi\)
\(174\) 14.3185 + 21.4625i 0.0822901 + 0.123348i
\(175\) −130.881 + 116.168i −0.747892 + 0.663820i
\(176\) 38.2654i 0.217417i
\(177\) −202.862 + 230.985i −1.14611 + 1.30500i
\(178\) −10.2555 + 38.2742i −0.0576154 + 0.215024i
\(179\) 41.8470 + 72.4811i 0.233782 + 0.404922i 0.958918 0.283683i \(-0.0915564\pi\)
−0.725136 + 0.688606i \(0.758223\pi\)
\(180\) 60.9943 66.1792i 0.338857 0.367662i
\(181\) 54.9853i 0.303786i 0.988397 + 0.151893i \(0.0485370\pi\)
−0.988397 + 0.151893i \(0.951463\pi\)
\(182\) 99.9120 + 78.7419i 0.548967 + 0.432648i
\(183\) 315.060 + 62.9047i 1.72164 + 0.343742i
\(184\) 84.1231 + 48.5685i 0.457191 + 0.263959i
\(185\) 73.2540 + 6.51587i 0.395968 + 0.0352209i
\(186\) −31.7389 15.6803i −0.170639 0.0843025i
\(187\) −62.7509 234.190i −0.335566 1.25235i
\(188\) 109.052 109.052i 0.580063 0.580063i
\(189\) −140.199 126.749i −0.741794 0.670628i
\(190\) −121.431 85.2891i −0.639108 0.448890i
\(191\) 183.674 + 106.044i 0.961645 + 0.555206i 0.896679 0.442681i \(-0.145973\pi\)
0.0649662 + 0.997887i \(0.479306\pi\)
\(192\) −7.69822 22.7319i −0.0400949 0.118395i
\(193\) −74.2332 19.8907i −0.384628 0.103061i 0.0613233 0.998118i \(-0.480468\pi\)
−0.445951 + 0.895057i \(0.647135\pi\)
\(194\) −33.6588 19.4329i −0.173499 0.100170i
\(195\) −132.990 139.527i −0.682000 0.715524i
\(196\) 95.2859 22.9039i 0.486153 0.116857i
\(197\) 164.483 164.483i 0.834941 0.834941i −0.153247 0.988188i \(-0.548973\pi\)
0.988188 + 0.153247i \(0.0489730\pi\)
\(198\) 120.695 + 16.0662i 0.609572 + 0.0811427i
\(199\) 122.872 + 212.821i 0.617449 + 1.06945i 0.989950 + 0.141421i \(0.0451672\pi\)
−0.372500 + 0.928032i \(0.621500\pi\)
\(200\) −5.95867 70.4592i −0.0297933 0.352296i
\(201\) 4.64761 + 71.6979i 0.0231224 + 0.356706i
\(202\) 19.1665 19.1665i 0.0948835 0.0948835i
\(203\) 6.10243 42.1287i 0.0300612 0.207530i
\(204\) −84.3918 126.498i −0.413686 0.620088i
\(205\) 259.812 + 94.9906i 1.26738 + 0.463369i
\(206\) 85.8872 + 148.761i 0.416928 + 0.722141i
\(207\) −188.513 + 244.945i −0.910691 + 1.18331i
\(208\) −49.6497 + 13.3036i −0.238700 + 0.0639595i
\(209\) 200.755i 0.960550i
\(210\) −147.837 + 13.9324i −0.703987 + 0.0663447i
\(211\) −319.893 −1.51608 −0.758041 0.652206i \(-0.773844\pi\)
−0.758041 + 0.652206i \(0.773844\pi\)
\(212\) −0.384254 1.43405i −0.00181252 0.00676441i
\(213\) 25.3109 + 74.7398i 0.118831 + 0.350891i
\(214\) −47.9775 + 27.6998i −0.224194 + 0.129438i
\(215\) −367.424 + 170.685i −1.70895 + 0.793884i
\(216\) 74.9321 14.7371i 0.346908 0.0682275i
\(217\) 21.6513 + 54.2475i 0.0997754 + 0.249989i
\(218\) 29.4805 + 29.4805i 0.135232 + 0.135232i
\(219\) −1.51841 23.4242i −0.00693337 0.106960i
\(220\) 73.3716 61.3851i 0.333507 0.279023i
\(221\) −282.046 + 162.840i −1.27623 + 0.736831i
\(222\) 46.8879 + 41.1792i 0.211207 + 0.185492i
\(223\) −72.0790 72.0790i −0.323224 0.323224i 0.526778 0.850003i \(-0.323400\pi\)
−0.850003 + 0.526778i \(0.823400\pi\)
\(224\) −15.6260 + 36.3844i −0.0697591 + 0.162431i
\(225\) 224.741 + 10.7886i 0.998850 + 0.0479495i
\(226\) 18.4098 31.8867i 0.0814593 0.141092i
\(227\) −79.5359 + 296.832i −0.350378 + 1.30763i 0.535823 + 0.844330i \(0.320001\pi\)
−0.886202 + 0.463300i \(0.846665\pi\)
\(228\) −40.3878 119.260i −0.177139 0.523070i
\(229\) −182.736 + 316.509i −0.797975 + 1.38213i 0.122958 + 0.992412i \(0.460762\pi\)
−0.920933 + 0.389722i \(0.872571\pi\)
\(230\) 41.8226 + 239.214i 0.181837 + 1.04006i
\(231\) −130.381 152.836i −0.564421 0.661629i
\(232\) 12.1624 + 12.1624i 0.0524241 + 0.0524241i
\(233\) −195.689 + 52.4347i −0.839867 + 0.225042i −0.653013 0.757346i \(-0.726496\pi\)
−0.186853 + 0.982388i \(0.559829\pi\)
\(234\) −21.1155 162.189i −0.0902374 0.693114i
\(235\) 384.040 + 34.1600i 1.63421 + 0.145362i
\(236\) −102.473 + 177.489i −0.434208 + 0.752071i
\(237\) 117.501 + 23.4601i 0.495784 + 0.0989878i
\(238\) −35.9672 + 248.303i −0.151123 + 1.04329i
\(239\) −239.638 −1.00267 −0.501334 0.865254i \(-0.667157\pi\)
−0.501334 + 0.865254i \(0.667157\pi\)
\(240\) 31.2375 51.2271i 0.130156 0.213446i
\(241\) −150.658 + 86.9824i −0.625137 + 0.360923i −0.778866 0.627190i \(-0.784205\pi\)
0.153729 + 0.988113i \(0.450872\pi\)
\(242\) −40.2771 10.7922i −0.166434 0.0445959i
\(243\) 15.0220 + 242.535i 0.0618190 + 0.998087i
\(244\) 214.186 0.877811
\(245\) 196.774 + 145.963i 0.803159 + 0.595765i
\(246\) 130.269 + 195.265i 0.529550 + 0.793761i
\(247\) −260.481 + 69.7956i −1.05458 + 0.282573i
\(248\) −22.7965 6.10830i −0.0919214 0.0246303i
\(249\) 99.5645 201.532i 0.399857 0.809365i
\(250\) 125.542 124.455i 0.502169 0.497822i
\(251\) −15.9751 −0.0636458 −0.0318229 0.999494i \(-0.510131\pi\)
−0.0318229 + 0.999494i \(0.510131\pi\)
\(252\) −108.201 64.5635i −0.429371 0.256204i
\(253\) −232.312 + 232.312i −0.918228 + 0.918228i
\(254\) −25.3592 + 43.9234i −0.0998393 + 0.172927i
\(255\) 107.171 364.743i 0.420279 1.43037i
\(256\) −8.00000 13.8564i −0.0312500 0.0541266i
\(257\) 114.730 30.7419i 0.446422 0.119618i −0.0286028 0.999591i \(-0.509106\pi\)
0.475025 + 0.879972i \(0.342439\pi\)
\(258\) −337.115 67.3080i −1.30665 0.260884i
\(259\) −12.1158 102.245i −0.0467793 0.394769i
\(260\) −105.156 73.8586i −0.404448 0.284072i
\(261\) −43.4686 + 33.2556i −0.166547 + 0.127416i
\(262\) −11.9630 3.20547i −0.0456601 0.0122346i
\(263\) 0.214082 0.798967i 0.000814002 0.00303790i −0.965518 0.260338i \(-0.916166\pi\)
0.966332 + 0.257300i \(0.0828328\pi\)
\(264\) 81.0032 5.25080i 0.306830 0.0198894i
\(265\) 2.13329 3.03728i 0.00805016 0.0114614i
\(266\) −81.9801 + 190.886i −0.308196 + 0.717618i
\(267\) −82.4290 16.4577i −0.308723 0.0616394i
\(268\) 12.3972 + 46.2668i 0.0462580 + 0.172637i
\(269\) 121.009 69.8648i 0.449849 0.259720i −0.257918 0.966167i \(-0.583036\pi\)
0.707766 + 0.706447i \(0.249703\pi\)
\(270\) 148.463 + 120.036i 0.549863 + 0.444579i
\(271\) 355.001 + 204.960i 1.30997 + 0.756309i 0.982090 0.188412i \(-0.0603341\pi\)
0.327875 + 0.944721i \(0.393667\pi\)
\(272\) −71.6840 71.6840i −0.263544 0.263544i
\(273\) −152.977 + 222.306i −0.560355 + 0.814310i
\(274\) 78.2752i 0.285676i
\(275\) 235.404 + 42.2119i 0.856015 + 0.153498i
\(276\) −91.2701 + 184.743i −0.330689 + 0.669358i
\(277\) 102.570 382.795i 0.370287 1.38193i −0.489823 0.871822i \(-0.662939\pi\)
0.860110 0.510109i \(-0.170395\pi\)
\(278\) 0.975968 + 3.64236i 0.00351067 + 0.0131020i
\(279\) 28.8380 69.3391i 0.103362 0.248527i
\(280\) −94.8321 + 28.4057i −0.338686 + 0.101449i
\(281\) 333.039i 1.18519i 0.805500 + 0.592596i \(0.201897\pi\)
−0.805500 + 0.592596i \(0.798103\pi\)
\(282\) 245.814 + 215.885i 0.871680 + 0.765551i
\(283\) −3.01665 + 11.2583i −0.0106596 + 0.0397820i −0.971051 0.238873i \(-0.923222\pi\)
0.960391 + 0.278655i \(0.0898886\pi\)
\(284\) 26.3031 + 45.5583i 0.0926166 + 0.160417i
\(285\) 163.884 268.757i 0.575031 0.943007i
\(286\) 173.850i 0.607866i
\(287\) 55.5198 383.286i 0.193449 1.33549i
\(288\) 47.0642 19.4155i 0.163417 0.0674148i
\(289\) −305.989 176.663i −1.05878 0.611289i
\(290\) −3.80981 + 42.8314i −0.0131373 + 0.147695i
\(291\) 36.5184 73.9181i 0.125493 0.254014i
\(292\) −4.05024 15.1157i −0.0138707 0.0517661i
\(293\) 181.483 181.483i 0.619396 0.619396i −0.325981 0.945376i \(-0.605694\pi\)
0.945376 + 0.325981i \(0.105694\pi\)
\(294\) 61.5600 + 198.566i 0.209388 + 0.675394i
\(295\) −504.710 + 88.2401i −1.71088 + 0.299119i
\(296\) 36.0287 + 20.8012i 0.121719 + 0.0702742i
\(297\) −17.4484 + 257.702i −0.0587489 + 0.867682i
\(298\) −94.6923 25.3727i −0.317759 0.0851433i
\(299\) 382.193 + 220.659i 1.27824 + 0.737991i
\(300\) 148.336 22.2822i 0.494453 0.0742740i
\(301\) 339.426 + 454.415i 1.12766 + 1.50968i
\(302\) 143.158 143.158i 0.474032 0.474032i
\(303\) 43.2031 + 37.9430i 0.142584 + 0.125225i
\(304\) −41.9710 72.6960i −0.138063 0.239131i
\(305\) 343.595 + 410.688i 1.12654 + 1.34652i
\(306\) 256.200 196.005i 0.837256 0.640540i
\(307\) −398.803 + 398.803i −1.29903 + 1.29903i −0.370003 + 0.929031i \(0.620643\pi\)
−0.929031 + 0.370003i \(0.879357\pi\)
\(308\) −105.188 82.9001i −0.341520 0.269156i
\(309\) −303.123 + 202.226i −0.980982 + 0.654453i
\(310\) −24.8577 53.5097i −0.0801860 0.172612i
\(311\) −56.7724 98.3327i −0.182548 0.316182i 0.760200 0.649690i \(-0.225101\pi\)
−0.942748 + 0.333507i \(0.891768\pi\)
\(312\) −34.9750 103.277i −0.112099 0.331015i
\(313\) −321.237 + 86.0751i −1.02632 + 0.275000i −0.732432 0.680841i \(-0.761615\pi\)
−0.293884 + 0.955841i \(0.594948\pi\)
\(314\) 152.158i 0.484580i
\(315\) −49.7795 311.042i −0.158030 0.987434i
\(316\) 79.8799 0.252785
\(317\) −127.674 476.486i −0.402757 1.50311i −0.808155 0.588970i \(-0.799534\pi\)
0.405398 0.914140i \(-0.367133\pi\)
\(318\) 2.98299 1.01020i 0.00938047 0.00317673i
\(319\) −50.3809 + 29.0874i −0.157934 + 0.0911832i
\(320\) 13.7353 37.5678i 0.0429227 0.117400i
\(321\) −65.2207 97.7615i −0.203180 0.304553i
\(322\) 315.759 126.025i 0.980617 0.391384i
\(323\) −376.082 376.082i −1.16434 1.16434i
\(324\) 41.4789 + 156.600i 0.128021 + 0.483333i
\(325\) −27.0718 320.114i −0.0832978 0.984967i
\(326\) 100.094 57.7892i 0.307036 0.177267i
\(327\) −58.3613 + 66.4519i −0.178475 + 0.203217i
\(328\) 110.653 + 110.653i 0.337357 + 0.337357i
\(329\) −63.5182 536.029i −0.193065 1.62927i
\(330\) 140.013 + 146.895i 0.424281 + 0.445137i
\(331\) 279.109 483.431i 0.843229 1.46052i −0.0439211 0.999035i \(-0.513985\pi\)
0.887150 0.461481i \(-0.152682\pi\)
\(332\) 38.7857 144.750i 0.116824 0.435995i
\(333\) −80.7373 + 104.907i −0.242454 + 0.315035i
\(334\) −27.5502 + 47.7184i −0.0824858 + 0.142870i
\(335\) −68.8263 + 97.9916i −0.205452 + 0.292512i
\(336\) −79.1656 28.0857i −0.235612 0.0835885i
\(337\) −123.082 123.082i −0.365227 0.365227i 0.500506 0.865733i \(-0.333147\pi\)
−0.865733 + 0.500506i \(0.833147\pi\)
\(338\) 5.28707 1.41667i 0.0156422 0.00419132i
\(339\) 70.0265 + 34.5958i 0.206568 + 0.102052i
\(340\) 22.4547 252.445i 0.0660432 0.742484i
\(341\) 39.9113 69.1284i 0.117042 0.202723i
\(342\) 246.917 101.861i 0.721978 0.297839i
\(343\) 143.471 311.553i 0.418284 0.908316i
\(344\) −229.179 −0.666217
\(345\) −500.648 + 121.358i −1.45115 + 0.351763i
\(346\) 202.020 116.636i 0.583874 0.337100i
\(347\) 409.122 + 109.624i 1.17903 + 0.315919i 0.794540 0.607212i \(-0.207712\pi\)
0.384486 + 0.923131i \(0.374379\pi\)
\(348\) −24.0774 + 27.4152i −0.0691878 + 0.0787794i
\(349\) 411.943 1.18035 0.590176 0.807275i \(-0.299058\pi\)
0.590176 + 0.807275i \(0.299058\pi\)
\(350\) −206.595 136.266i −0.590271 0.389333i
\(351\) 340.436 66.9546i 0.969903 0.190754i
\(352\) 52.2715 14.0061i 0.148499 0.0397901i
\(353\) −104.493 27.9987i −0.296013 0.0793164i 0.107756 0.994177i \(-0.465633\pi\)
−0.403769 + 0.914861i \(0.632300\pi\)
\(354\) −389.783 192.568i −1.10108 0.543978i
\(355\) −45.1600 + 123.519i −0.127211 + 0.347941i
\(356\) −56.0373 −0.157408
\(357\) −530.562 42.0659i −1.48617 0.117832i
\(358\) −83.6940 + 83.6940i −0.233782 + 0.233782i
\(359\) −124.744 + 216.062i −0.347475 + 0.601845i −0.985800 0.167922i \(-0.946294\pi\)
0.638325 + 0.769767i \(0.279628\pi\)
\(360\) 112.728 + 59.0965i 0.313133 + 0.164157i
\(361\) −39.6959 68.7553i −0.109961 0.190458i
\(362\) −75.1114 + 20.1260i −0.207490 + 0.0555968i
\(363\) 17.3189 86.7426i 0.0477106 0.238960i
\(364\) −70.9931 + 165.304i −0.195036 + 0.454132i
\(365\) 22.4861 32.0146i 0.0616056 0.0877112i
\(366\) 29.3907 + 453.405i 0.0803025 + 1.23881i
\(367\) 519.821 + 139.286i 1.41641 + 0.379525i 0.884208 0.467094i \(-0.154699\pi\)
0.532199 + 0.846619i \(0.321366\pi\)
\(368\) −35.5546 + 132.692i −0.0966158 + 0.360575i
\(369\) −395.477 + 302.558i −1.07175 + 0.819941i
\(370\) 17.9120 + 102.452i 0.0484108 + 0.276897i
\(371\) −4.77455 2.05053i −0.0128694 0.00552703i
\(372\) 9.80238 49.0956i 0.0263505 0.131977i
\(373\) −157.849 589.100i −0.423187 1.57936i −0.767850 0.640630i \(-0.778673\pi\)
0.344662 0.938727i \(-0.387993\pi\)
\(374\) 296.941 171.439i 0.793959 0.458392i
\(375\) 280.684 + 248.680i 0.748490 + 0.663146i
\(376\) 188.883 + 109.052i 0.502350 + 0.290032i
\(377\) 55.2569 + 55.2569i 0.146570 + 0.146570i
\(378\) 121.826 237.909i 0.322290 0.629388i
\(379\) 119.286i 0.314738i 0.987540 + 0.157369i \(0.0503011\pi\)
−0.987540 + 0.157369i \(0.949699\pi\)
\(380\) 72.0604 197.095i 0.189633 0.518671i
\(381\) −96.4602 47.6551i −0.253177 0.125079i
\(382\) −77.6299 + 289.719i −0.203220 + 0.758426i
\(383\) −174.952 652.929i −0.456793 1.70478i −0.682762 0.730641i \(-0.739221\pi\)
0.225969 0.974135i \(-0.427445\pi\)
\(384\) 28.2346 18.8364i 0.0735275 0.0490531i
\(385\) −9.78620 334.679i −0.0254187 0.869297i
\(386\) 108.685i 0.281567i
\(387\) 96.2238 722.866i 0.248640 1.86787i
\(388\) 14.2259 53.0917i 0.0366646 0.136834i
\(389\) 28.8116 + 49.9032i 0.0740658 + 0.128286i 0.900680 0.434484i \(-0.143069\pi\)
−0.826614 + 0.562770i \(0.809736\pi\)
\(390\) 141.920 232.738i 0.363897 0.596764i
\(391\) 870.397i 2.22608i
\(392\) 66.1644 + 121.780i 0.168787 + 0.310662i
\(393\) 5.14401 25.7640i 0.0130891 0.0655572i
\(394\) 284.894 + 164.483i 0.723080 + 0.417471i
\(395\) 128.143 + 153.165i 0.324412 + 0.387759i
\(396\) 22.2306 + 170.753i 0.0561379 + 0.431195i
\(397\) −104.074 388.409i −0.262151 0.978360i −0.963971 0.266006i \(-0.914296\pi\)
0.701821 0.712354i \(-0.252371\pi\)
\(398\) −245.745 + 245.745i −0.617449 + 0.617449i
\(399\) −415.333 147.348i −1.04093 0.369294i
\(400\) 94.0680 33.9295i 0.235170 0.0848238i
\(401\) 137.547 + 79.4128i 0.343010 + 0.198037i 0.661602 0.749855i \(-0.269877\pi\)
−0.318592 + 0.947892i \(0.603210\pi\)
\(402\) −96.2400 + 32.5920i −0.239403 + 0.0810746i
\(403\) −103.570 27.7516i −0.256998 0.0688625i
\(404\) 33.1973 + 19.1665i 0.0821715 + 0.0474418i
\(405\) −233.730 + 330.749i −0.577112 + 0.816665i
\(406\) 59.7825 7.08409i 0.147248 0.0174485i
\(407\) −99.4957 + 99.4957i −0.244461 + 0.244461i
\(408\) 141.910 161.583i 0.347818 0.396036i
\(409\) −357.161 618.622i −0.873255 1.51252i −0.858610 0.512629i \(-0.828671\pi\)
−0.0146451 0.999893i \(-0.504662\pi\)
\(410\) −34.6616 + 389.679i −0.0845405 + 0.950437i
\(411\) 165.699 10.7410i 0.403160 0.0261337i
\(412\) −171.774 + 171.774i −0.416928 + 0.416928i
\(413\) 265.897 + 666.210i 0.643819 + 1.61310i
\(414\) −403.602 167.857i −0.974885 0.405452i
\(415\) 339.769 157.838i 0.818721 0.380333i
\(416\) −36.3461 62.9532i −0.0873704 0.151330i
\(417\) −7.57651 + 2.56581i −0.0181691 + 0.00615302i
\(418\) 274.236 73.4814i 0.656068 0.175793i
\(419\) 107.181i 0.255801i −0.991787 0.127901i \(-0.959176\pi\)
0.991787 0.127901i \(-0.0408239\pi\)
\(420\) −73.1442 196.850i −0.174153 0.468690i
\(421\) 600.952 1.42744 0.713719 0.700432i \(-0.247009\pi\)
0.713719 + 0.700432i \(0.247009\pi\)
\(422\) −117.089 436.983i −0.277462 1.03550i
\(423\) −423.272 + 549.981i −1.00064 + 1.30019i
\(424\) 1.81831 1.04980i 0.00428846 0.00247595i
\(425\) 520.069 361.914i 1.22369 0.851563i
\(426\) −92.8321 + 61.9320i −0.217916 + 0.145380i
\(427\) 464.023 588.777i 1.08670 1.37887i
\(428\) −55.3997 55.3997i −0.129438 0.129438i
\(429\) 368.018 23.8557i 0.857852 0.0556078i
\(430\) −367.647 439.436i −0.854993 1.02194i
\(431\) 16.2301 9.37047i 0.0376569 0.0217412i −0.481053 0.876691i \(-0.659746\pi\)
0.518710 + 0.854950i \(0.326412\pi\)
\(432\) 47.5583 + 96.9650i 0.110089 + 0.224456i
\(433\) 54.7566 + 54.7566i 0.126459 + 0.126459i 0.767503 0.641045i \(-0.221499\pi\)
−0.641045 + 0.767503i \(0.721499\pi\)
\(434\) −66.1786 + 49.4321i −0.152485 + 0.113899i
\(435\) −91.1917 2.18756i −0.209636 0.00502887i
\(436\) −29.4805 + 51.0617i −0.0676158 + 0.117114i
\(437\) −186.533 + 696.150i −0.426849 + 1.59302i
\(438\) 31.4423 10.6480i 0.0717861 0.0243106i
\(439\) −32.3014 + 55.9477i −0.0735795 + 0.127443i −0.900468 0.434923i \(-0.856776\pi\)
0.826888 + 0.562366i \(0.190109\pi\)
\(440\) 110.709 + 77.7589i 0.251612 + 0.176725i
\(441\) −411.892 + 157.562i −0.933996 + 0.357284i
\(442\) −325.679 325.679i −0.736831 0.736831i
\(443\) −300.331 + 80.4734i −0.677948 + 0.181656i −0.581332 0.813666i \(-0.697468\pi\)
−0.0966154 + 0.995322i \(0.530802\pi\)
\(444\) −39.0897 + 79.1227i −0.0880398 + 0.178204i
\(445\) −89.8946 107.448i −0.202010 0.241456i
\(446\) 72.0790 124.845i 0.161612 0.279921i
\(447\) 40.7172 203.934i 0.0910899 0.456227i
\(448\) −55.4216 8.02794i −0.123709 0.0179195i
\(449\) 497.661 1.10838 0.554188 0.832392i \(-0.313029\pi\)
0.554188 + 0.832392i \(0.313029\pi\)
\(450\) 67.5234 + 310.951i 0.150052 + 0.691002i
\(451\) −458.364 + 264.637i −1.01633 + 0.586778i
\(452\) 50.2965 + 13.4769i 0.111275 + 0.0298162i
\(453\) 322.691 + 283.403i 0.712342 + 0.625613i
\(454\) −434.592 −0.957251
\(455\) −430.847 + 129.054i −0.946915 + 0.283636i
\(456\) 148.129 98.8229i 0.324845 0.216717i
\(457\) 661.564 177.266i 1.44762 0.387890i 0.552428 0.833561i \(-0.313702\pi\)
0.895197 + 0.445671i \(0.147035\pi\)
\(458\) −499.245 133.772i −1.09005 0.292079i
\(459\) 450.075 + 515.449i 0.980556 + 1.12298i
\(460\) −311.464 + 144.689i −0.677096 + 0.314542i
\(461\) 319.049 0.692081 0.346040 0.938220i \(-0.387526\pi\)
0.346040 + 0.938220i \(0.387526\pi\)
\(462\) 161.055 234.046i 0.348605 0.506593i
\(463\) 325.970 325.970i 0.704039 0.704039i −0.261236 0.965275i \(-0.584130\pi\)
0.965275 + 0.261236i \(0.0841302\pi\)
\(464\) −12.1624 + 21.0659i −0.0262120 + 0.0454006i
\(465\) 109.863 59.9633i 0.236264 0.128953i
\(466\) −143.254 248.124i −0.307413 0.532454i
\(467\) 570.058 152.747i 1.22068 0.327080i 0.409737 0.912204i \(-0.365621\pi\)
0.810944 + 0.585123i \(0.198954\pi\)
\(468\) 213.825 88.2095i 0.456891 0.188482i
\(469\) 154.041 + 66.1561i 0.328446 + 0.141058i
\(470\) 93.9051 + 537.112i 0.199798 + 1.14279i
\(471\) −322.100 + 20.8792i −0.683864 + 0.0443295i
\(472\) −279.962 75.0156i −0.593140 0.158931i
\(473\) 200.619 748.720i 0.424142 1.58292i
\(474\) 10.9612 + 169.096i 0.0231248 + 0.356743i
\(475\) 493.516 178.007i 1.03898 0.374752i
\(476\) −352.353 + 41.7530i −0.740237 + 0.0877164i
\(477\) 2.54780 + 6.17600i 0.00534129 + 0.0129476i
\(478\) −87.7135 327.351i −0.183501 0.684835i
\(479\) −188.062 + 108.578i −0.392614 + 0.226676i −0.683292 0.730145i \(-0.739452\pi\)
0.290678 + 0.956821i \(0.406119\pi\)
\(480\) 81.4113 + 23.9208i 0.169607 + 0.0498350i
\(481\) 163.688 + 94.5051i 0.340307 + 0.196476i
\(482\) −173.965 173.965i −0.360923 0.360923i
\(483\) 310.109 + 651.129i 0.642048 + 1.34809i
\(484\) 58.9697i 0.121838i
\(485\) 124.621 57.8920i 0.256950 0.119365i
\(486\) −325.811 + 109.295i −0.670393 + 0.224886i
\(487\) −174.484 + 651.185i −0.358284 + 1.33713i 0.518017 + 0.855370i \(0.326670\pi\)
−0.876301 + 0.481764i \(0.839996\pi\)
\(488\) 78.3975 + 292.583i 0.160651 + 0.599556i
\(489\) 136.068 + 203.957i 0.278257 + 0.417089i
\(490\) −127.364 + 322.224i −0.259927 + 0.657600i
\(491\) 760.336i 1.54855i 0.632852 + 0.774273i \(0.281884\pi\)
−0.632852 + 0.774273i \(0.718116\pi\)
\(492\) −219.055 + 249.423i −0.445234 + 0.506957i
\(493\) −39.8899 + 148.871i −0.0809125 + 0.301970i
\(494\) −190.685 330.277i −0.386002 0.668576i
\(495\) −291.747 + 316.547i −0.589387 + 0.639489i
\(496\) 33.3764i 0.0672911i
\(497\) 182.220 + 26.3950i 0.366640 + 0.0531086i
\(498\) 311.741 + 62.2419i 0.625985 + 0.124984i
\(499\) 131.634 + 75.9987i 0.263795 + 0.152302i 0.626064 0.779771i \(-0.284665\pi\)
−0.362270 + 0.932073i \(0.617998\pi\)
\(500\) 215.961 + 125.940i 0.431922 + 0.251880i
\(501\) −104.795 51.7726i −0.209171 0.103338i
\(502\) −5.84729 21.8224i −0.0116480 0.0434709i
\(503\) 151.056 151.056i 0.300310 0.300310i −0.540825 0.841135i \(-0.681888\pi\)
0.841135 + 0.540825i \(0.181888\pi\)
\(504\) 48.5909 171.438i 0.0964105 0.340154i
\(505\) 16.5043 + 94.4004i 0.0326819 + 0.186932i
\(506\) −402.376 232.312i −0.795209 0.459114i
\(507\) 3.72440 + 10.9977i 0.00734596 + 0.0216917i
\(508\) −69.2826 18.5642i −0.136383 0.0365437i
\(509\) 158.311 + 91.4010i 0.311024 + 0.179570i 0.647385 0.762163i \(-0.275863\pi\)
−0.336361 + 0.941733i \(0.609196\pi\)
\(510\) 537.476 + 12.8933i 1.05387 + 0.0252809i
\(511\) −50.3263 21.6137i −0.0984860 0.0422968i
\(512\) 16.0000 16.0000i 0.0312500 0.0312500i
\(513\) 249.509 + 508.715i 0.486372 + 0.991647i
\(514\) 83.9885 + 145.472i 0.163402 + 0.283020i
\(515\) −604.926 53.8076i −1.17461 0.104481i
\(516\) −31.4480 485.143i −0.0609458 0.940200i
\(517\) −521.615 + 521.615i −1.00893 + 1.00893i
\(518\) 135.235 53.9749i 0.261071 0.104199i
\(519\) 274.626 + 411.647i 0.529145 + 0.793155i
\(520\) 62.4028 170.680i 0.120005 0.328232i
\(521\) 175.787 + 304.471i 0.337402 + 0.584398i 0.983943 0.178481i \(-0.0571184\pi\)
−0.646541 + 0.762879i \(0.723785\pi\)
\(522\) −61.3386 47.2069i −0.117507 0.0904347i
\(523\) −576.429 + 154.454i −1.10216 + 0.295322i −0.763643 0.645639i \(-0.776591\pi\)
−0.338515 + 0.940961i \(0.609925\pi\)
\(524\) 17.5150i 0.0334255i
\(525\) 260.110 456.035i 0.495448 0.868638i
\(526\) 1.16977 0.00222389
\(527\) −54.7335 204.268i −0.103859 0.387606i
\(528\) 36.8220 + 108.731i 0.0697386 + 0.205929i
\(529\) 563.306 325.225i 1.06485 0.614792i
\(530\) 4.92984 + 1.80241i 0.00930159 + 0.00340077i
\(531\) 354.157 851.548i 0.666962 1.60367i
\(532\) −290.763 42.1176i −0.546546 0.0791684i
\(533\) 502.726 + 502.726i 0.943200 + 0.943200i
\(534\) −7.68947 118.624i −0.0143997 0.222142i
\(535\) 17.3537 195.097i 0.0324368 0.364667i
\(536\) −58.6640 + 33.8696i −0.109448 + 0.0631896i
\(537\) −188.654 165.685i −0.351312 0.308539i
\(538\) 139.730 + 139.730i 0.259720 + 0.259720i
\(539\) −455.769 + 109.554i −0.845583 + 0.203253i
\(540\) −109.632 + 246.741i −0.203021 + 0.456927i
\(541\) −96.8750 + 167.792i −0.179067 + 0.310152i −0.941561 0.336842i \(-0.890641\pi\)
0.762494 + 0.646995i \(0.223974\pi\)
\(542\) −150.041 + 559.960i −0.276828 + 1.03314i
\(543\) −52.9112 156.240i −0.0974423 0.287735i
\(544\) 71.6840 124.160i 0.131772 0.228236i
\(545\) −145.200 + 25.3858i −0.266422 + 0.0465795i
\(546\) −359.670 127.601i −0.658736 0.233701i
\(547\) −570.554 570.554i −1.04306 1.04306i −0.999030 0.0440307i \(-0.985980\pi\)
−0.0440307 0.999030i \(-0.514020\pi\)
\(548\) 106.926 28.6507i 0.195120 0.0522823i
\(549\) −955.771 + 124.433i −1.74093 + 0.226654i
\(550\) 28.5014 + 337.019i 0.0518207 + 0.612761i
\(551\) −63.8085 + 110.520i −0.115805 + 0.200580i
\(552\) −285.771 57.0567i −0.517701 0.103364i
\(553\) 173.056 219.583i 0.312940 0.397075i
\(554\) 560.450 1.01164
\(555\) −214.420 + 51.9760i −0.386343 + 0.0936504i
\(556\) −4.61833 + 2.66639i −0.00830635 + 0.00479567i
\(557\) −943.021 252.682i −1.69304 0.453648i −0.721866 0.692033i \(-0.756715\pi\)
−0.971171 + 0.238385i \(0.923382\pi\)
\(558\) 105.274 + 14.0135i 0.188664 + 0.0251138i
\(559\) −1041.22 −1.86264
\(560\) −73.5138 119.146i −0.131275 0.212760i
\(561\) 403.661 + 605.062i 0.719539 + 1.07854i
\(562\) −454.940 + 121.901i −0.809501 + 0.216905i
\(563\) −357.565 95.8093i −0.635107 0.170176i −0.0731209 0.997323i \(-0.523296\pi\)
−0.561986 + 0.827147i \(0.689963\pi\)
\(564\) −204.931 + 414.807i −0.363353 + 0.735474i
\(565\) 54.8441 + 118.060i 0.0970693 + 0.208956i
\(566\) −16.4833 −0.0291224
\(567\) 520.340 + 225.244i 0.917708 + 0.397255i
\(568\) −52.6062 + 52.6062i −0.0926166 + 0.0926166i
\(569\) 193.008 334.300i 0.339206 0.587522i −0.645078 0.764117i \(-0.723175\pi\)
0.984284 + 0.176595i \(0.0565083\pi\)
\(570\) 427.114 + 125.497i 0.749323 + 0.220171i
\(571\) −428.573 742.309i −0.750565 1.30002i −0.947549 0.319610i \(-0.896448\pi\)
0.196984 0.980407i \(-0.436885\pi\)
\(572\) 237.483 63.6334i 0.415180 0.111247i
\(573\) −623.951 124.578i −1.08892 0.217413i
\(574\) 543.900 64.4509i 0.947560 0.112284i
\(575\) −777.081 365.104i −1.35145 0.634964i
\(576\) 43.7487 + 57.1843i 0.0759526 + 0.0992784i
\(577\) 760.902 + 203.883i 1.31872 + 0.353350i 0.848498 0.529198i \(-0.177507\pi\)
0.470222 + 0.882548i \(0.344174\pi\)
\(578\) 129.326 482.651i 0.223747 0.835037i
\(579\) 230.073 14.9138i 0.397362 0.0257579i
\(580\) −59.9033 + 10.4731i −0.103282 + 0.0180571i
\(581\) −313.878 420.212i −0.540237 0.723257i
\(582\) 114.341 + 22.8292i 0.196462 + 0.0392254i
\(583\) 1.83795 + 6.85934i 0.00315258 + 0.0117656i
\(584\) 19.1659 11.0655i 0.0328184 0.0189477i
\(585\) 512.152 + 268.491i 0.875474 + 0.458959i
\(586\) 314.338 + 181.483i 0.536412 + 0.309698i
\(587\) 333.048 + 333.048i 0.567373 + 0.567373i 0.931392 0.364019i \(-0.118596\pi\)
−0.364019 + 0.931392i \(0.618596\pi\)
\(588\) −248.713 + 156.773i −0.422982 + 0.266620i
\(589\) 175.105i 0.297292i
\(590\) −305.275 657.149i −0.517415 1.11381i
\(591\) −309.098 + 625.655i −0.523008 + 1.05864i
\(592\) −15.2275 + 56.8299i −0.0257222 + 0.0959964i
\(593\) 178.270 + 665.312i 0.300624 + 1.12194i 0.936648 + 0.350273i \(0.113911\pi\)
−0.636024 + 0.771669i \(0.719422\pi\)
\(594\) −358.413 + 70.4903i −0.603390 + 0.118671i
\(595\) −645.300 608.635i −1.08454 1.02292i
\(596\) 138.639i 0.232616i
\(597\) −553.933 486.490i −0.927860 0.814892i
\(598\) −161.534 + 602.852i −0.270123 + 1.00811i
\(599\) −58.2807 100.945i −0.0972967 0.168523i 0.813268 0.581889i \(-0.197686\pi\)
−0.910565 + 0.413366i \(0.864353\pi\)
\(600\) 84.7327 + 194.475i 0.141221 + 0.324124i
\(601\) 381.747i 0.635187i −0.948227 0.317594i \(-0.897125\pi\)
0.948227 0.317594i \(-0.102875\pi\)
\(602\) −496.504 + 629.991i −0.824758 + 1.04650i
\(603\) −82.1994 199.256i −0.136317 0.330441i
\(604\) 247.956 + 143.158i 0.410523 + 0.237016i
\(605\) 113.071 94.5988i 0.186894 0.156362i
\(606\) −36.0177 + 72.9046i −0.0594352 + 0.120305i
\(607\) 284.347 + 1061.20i 0.468446 + 1.74827i 0.645204 + 0.764011i \(0.276773\pi\)
−0.176757 + 0.984254i \(0.556561\pi\)
\(608\) 83.9421 83.9421i 0.138063 0.138063i
\(609\) 23.1995 + 125.580i 0.0380945 + 0.206207i
\(610\) −435.246 + 619.682i −0.713518 + 1.01587i
\(611\) 858.146 + 495.451i 1.40449 + 0.810885i
\(612\) 361.524 + 278.233i 0.590726 + 0.454629i
\(613\) −410.152 109.900i −0.669090 0.179282i −0.0917453 0.995783i \(-0.529245\pi\)
−0.577345 + 0.816500i \(0.695911\pi\)
\(614\) −690.748 398.803i −1.12500 0.649517i
\(615\) −829.660 19.9023i −1.34904 0.0323615i
\(616\) 74.7421 174.033i 0.121335 0.282521i
\(617\) −262.126 + 262.126i −0.424839 + 0.424839i −0.886866 0.462027i \(-0.847122\pi\)
0.462027 + 0.886866i \(0.347122\pi\)
\(618\) −387.197 340.055i −0.626532 0.550250i
\(619\) 77.9948 + 135.091i 0.126001 + 0.218241i 0.922124 0.386895i \(-0.126452\pi\)
−0.796123 + 0.605135i \(0.793119\pi\)
\(620\) 63.9971 53.5421i 0.103221 0.0863583i
\(621\) 299.951 877.410i 0.483012 1.41290i
\(622\) 113.545 113.545i 0.182548 0.182548i
\(623\) −121.402 + 154.041i −0.194867 + 0.247257i
\(624\) 128.277 85.5787i 0.205572 0.137145i
\(625\) 104.961 + 616.124i 0.167937 + 0.985798i
\(626\) −235.162 407.312i −0.375658 0.650658i
\(627\) 193.182 + 570.441i 0.308105 + 0.909795i
\(628\) −207.852 + 55.6937i −0.330974 + 0.0886843i
\(629\) 372.778i 0.592652i
\(630\) 406.670 181.849i 0.645509 0.288650i
\(631\) −1109.60 −1.75848 −0.879242 0.476376i \(-0.841950\pi\)
−0.879242 + 0.476376i \(0.841950\pi\)
\(632\) 29.2381 + 109.118i 0.0462628 + 0.172655i
\(633\) 908.972 307.826i 1.43597 0.486298i
\(634\) 604.160 348.812i 0.952933 0.550176i
\(635\) −75.5469 162.626i −0.118971 0.256103i
\(636\) 2.47181 + 3.70508i 0.00388649 + 0.00582560i
\(637\) 300.602 + 553.276i 0.471903 + 0.868565i
\(638\) −58.1749 58.1749i −0.0911832 0.0911832i
\(639\) −143.841 188.016i −0.225103 0.294234i
\(640\) 56.3461 + 5.01193i 0.0880407 + 0.00783114i
\(641\) 650.960 375.832i 1.01554 0.586322i 0.102730 0.994709i \(-0.467242\pi\)
0.912809 + 0.408388i \(0.133909\pi\)
\(642\) 109.672 124.876i 0.170829 0.194511i
\(643\) 854.052 + 854.052i 1.32823 + 1.32823i 0.906914 + 0.421316i \(0.138432\pi\)
0.421316 + 0.906914i \(0.361568\pi\)
\(644\) 287.730 + 385.206i 0.446785 + 0.598146i
\(645\) 879.784 838.563i 1.36401 1.30010i
\(646\) 376.082 651.392i 0.582170 1.00835i
\(647\) −44.1828 + 164.893i −0.0682888 + 0.254857i −0.991628 0.129128i \(-0.958782\pi\)
0.923339 + 0.383986i \(0.125449\pi\)
\(648\) −198.737 + 113.981i −0.306693 + 0.175896i
\(649\) 490.147 848.960i 0.755235 1.30810i
\(650\) 427.375 154.151i 0.657500 0.237155i
\(651\) −113.723 133.309i −0.174689 0.204776i
\(652\) 115.578 + 115.578i 0.177267 + 0.177267i
\(653\) −129.201 + 34.6194i −0.197858 + 0.0530159i −0.356387 0.934338i \(-0.615992\pi\)
0.158529 + 0.987354i \(0.449325\pi\)
\(654\) −112.137 55.3999i −0.171463 0.0847093i
\(655\) 33.5839 28.0974i 0.0512731 0.0428968i
\(656\) −110.653 + 191.657i −0.168679 + 0.292160i
\(657\) 26.8551 + 65.0984i 0.0408754 + 0.0990843i
\(658\) 708.980 282.968i 1.07748 0.430042i
\(659\) 88.9446 0.134969 0.0674845 0.997720i \(-0.478503\pi\)
0.0674845 + 0.997720i \(0.478503\pi\)
\(660\) −149.414 + 245.028i −0.226386 + 0.371255i
\(661\) −628.264 + 362.728i −0.950474 + 0.548757i −0.893228 0.449603i \(-0.851565\pi\)
−0.0572462 + 0.998360i \(0.518232\pi\)
\(662\) 762.540 + 204.322i 1.15187 + 0.308643i
\(663\) 644.733 734.113i 0.972448 1.10726i
\(664\) 211.929 0.319170
\(665\) −385.681 625.084i −0.579972 0.939976i
\(666\) −172.857 71.8908i −0.259545 0.107944i
\(667\) 201.731 54.0536i 0.302445 0.0810399i
\(668\) −75.2687 20.1682i −0.112678 0.0301919i
\(669\) 274.171 + 135.451i 0.409823 + 0.202468i
\(670\) −159.051 58.1510i −0.237390 0.0867926i
\(671\) −1024.49 −1.52681
\(672\) 9.38919 118.422i 0.0139720 0.176224i
\(673\) 656.032 656.032i 0.974787 0.974787i −0.0249030 0.999690i \(-0.507928\pi\)
0.999690 + 0.0249030i \(0.00792768\pi\)
\(674\) 123.082 213.184i 0.182614 0.316296i
\(675\) −648.980 + 185.608i −0.961452 + 0.274974i
\(676\) 3.87040 + 6.70373i 0.00572545 + 0.00991677i
\(677\) 1188.28 318.399i 1.75522 0.470309i 0.769490 0.638659i \(-0.220510\pi\)
0.985727 + 0.168350i \(0.0538437\pi\)
\(678\) −21.6273 + 108.321i −0.0318986 + 0.159765i
\(679\) −115.124 154.126i −0.169550 0.226990i
\(680\) 353.065 61.7275i 0.519213 0.0907757i
\(681\) −59.6350 919.978i −0.0875697 1.35092i
\(682\) 109.040 + 29.2171i 0.159882 + 0.0428403i
\(683\) 187.428 699.493i 0.274419 1.02415i −0.681810 0.731529i \(-0.738807\pi\)
0.956229 0.292618i \(-0.0945264\pi\)
\(684\) 229.522 + 300.011i 0.335559 + 0.438612i
\(685\) 226.466 + 159.062i 0.330607 + 0.232208i
\(686\) 478.103 + 81.9493i 0.696943 + 0.119460i
\(687\) 214.673 1075.20i 0.312479 1.56506i
\(688\) −83.8853 313.064i −0.121926 0.455035i
\(689\) 8.26104 4.76952i 0.0119899 0.00692237i
\(690\) −349.028 639.477i −0.505838 0.926779i
\(691\) −146.238 84.4306i −0.211633 0.122186i 0.390437 0.920630i \(-0.372324\pi\)
−0.602070 + 0.798443i \(0.705657\pi\)
\(692\) 233.273 + 233.273i 0.337100 + 0.337100i
\(693\) 517.547 + 308.819i 0.746821 + 0.445626i
\(694\) 598.996i 0.863107i
\(695\) −12.5213 4.57795i −0.0180163 0.00658698i
\(696\) −46.2628 22.8556i −0.0664695 0.0328385i
\(697\) −362.917 + 1354.43i −0.520684 + 1.94322i
\(698\) 150.781 + 562.724i 0.216019 + 0.806195i
\(699\) 505.590 337.299i 0.723305 0.482545i
\(700\) 110.524 332.091i 0.157892 0.474416i
\(701\) 351.512i 0.501444i −0.968059 0.250722i \(-0.919332\pi\)
0.968059 0.250722i \(-0.0806679\pi\)
\(702\) 216.070 + 440.537i 0.307792 + 0.627545i
\(703\) −79.8893 + 298.151i −0.113641 + 0.424112i
\(704\) 38.2654 + 66.2776i 0.0543543 + 0.0941444i
\(705\) −1124.12 + 272.488i −1.59449 + 0.386508i
\(706\) 152.988i 0.216696i
\(707\) 124.607 49.7331i 0.176248 0.0703439i
\(708\) 120.382 602.939i 0.170031 0.851608i
\(709\) −349.097 201.551i −0.492380 0.284276i 0.233181 0.972433i \(-0.425086\pi\)
−0.725561 + 0.688158i \(0.758420\pi\)
\(710\) −185.260 16.4787i −0.260929 0.0232094i
\(711\) −356.451 + 46.4069i −0.501338 + 0.0652699i
\(712\) −20.5111 76.5484i −0.0288077 0.107512i
\(713\) −202.630 + 202.630i −0.284194 + 0.284194i
\(714\) −136.736 740.158i −0.191507 1.03664i
\(715\) 502.982 + 353.279i 0.703471 + 0.494096i
\(716\) −144.962 83.6940i −0.202461 0.116891i
\(717\) 680.926 230.598i 0.949688 0.321615i
\(718\) −340.806 91.3187i −0.474660 0.127185i
\(719\) 460.328 + 265.771i 0.640234 + 0.369639i 0.784705 0.619870i \(-0.212815\pi\)
−0.144471 + 0.989509i \(0.546148\pi\)
\(720\) −39.4661 + 175.620i −0.0548140 + 0.243917i
\(721\) 100.052 + 844.333i 0.138768 + 1.17106i
\(722\) 79.3918 79.3918i 0.109961 0.109961i
\(723\) 344.391 392.134i 0.476336 0.542370i
\(724\) −54.9853 95.2374i −0.0759466 0.131543i
\(725\) −116.178 98.0600i −0.160245 0.135255i
\(726\) 124.832 8.09186i 0.171945 0.0111458i
\(727\) 347.052 347.052i 0.477376 0.477376i −0.426915 0.904292i \(-0.640400\pi\)
0.904292 + 0.426915i \(0.140400\pi\)
\(728\) −251.795 36.4730i −0.345872 0.0501003i
\(729\) −276.071 674.704i −0.378698 0.925520i
\(730\) 51.9632 + 18.9984i 0.0711825 + 0.0260252i
\(731\) −1026.78 1778.43i −1.40462 2.43288i
\(732\) −608.605 + 206.106i −0.831428 + 0.281566i
\(733\) −437.379 + 117.195i −0.596698 + 0.159885i −0.544512 0.838753i \(-0.683285\pi\)
−0.0521851 + 0.998637i \(0.516619\pi\)
\(734\) 761.071i 1.03688i
\(735\) −699.586 225.399i −0.951817 0.306665i
\(736\) −194.274 −0.263959
\(737\) −59.2978 221.302i −0.0804583 0.300274i
\(738\) −558.057 429.487i −0.756175 0.581961i
\(739\) 41.1344 23.7489i 0.0556622 0.0321366i −0.471911 0.881646i \(-0.656436\pi\)
0.527573 + 0.849510i \(0.323102\pi\)
\(740\) −133.396 + 61.9682i −0.180264 + 0.0837408i
\(741\) 672.989 448.978i 0.908217 0.605908i
\(742\) 1.05347 7.27270i 0.00141977 0.00980149i
\(743\) 437.774 + 437.774i 0.589197 + 0.589197i 0.937414 0.348217i \(-0.113213\pi\)
−0.348217 + 0.937414i \(0.613213\pi\)
\(744\) 70.6537 4.57992i 0.0949647 0.00615581i
\(745\) 265.832 222.404i 0.356821 0.298529i
\(746\) 746.949 431.251i 1.00127 0.578085i
\(747\) −88.9812 + 668.458i −0.119118 + 0.894856i
\(748\) 342.877 + 342.877i 0.458392 + 0.458392i
\(749\) −272.309 + 32.2680i −0.363564 + 0.0430815i
\(750\) −236.965 + 474.444i −0.315954 + 0.632592i
\(751\) 12.4219 21.5154i 0.0165405 0.0286489i −0.857637 0.514256i \(-0.828068\pi\)
0.874177 + 0.485607i \(0.161401\pi\)
\(752\) −79.8315 + 297.935i −0.106159 + 0.396191i
\(753\) 45.3930 15.3725i 0.0602828 0.0204150i
\(754\) −55.2569 + 95.7077i −0.0732850 + 0.126933i
\(755\) 123.274 + 705.093i 0.163276 + 0.933898i
\(756\) 369.581 + 79.3362i 0.488863 + 0.104942i
\(757\) −269.796 269.796i −0.356401 0.356401i 0.506083 0.862485i \(-0.331093\pi\)
−0.862485 + 0.506083i \(0.831093\pi\)
\(758\) −162.947 + 43.6615i −0.214970 + 0.0576010i
\(759\) 436.561 883.658i 0.575180 1.16424i
\(760\) 295.613 + 26.2945i 0.388964 + 0.0345980i
\(761\) −31.0588 + 53.7954i